Geometry, Topology and Dynamics Seminar
Alexander Lytchak
Universitaet Bonn, Germany
Scalar curvature of singular spaces
Abstract: In the talk, I am going to introduce a new concept of boundaries and
scalar curvatures of singular metric spaces. I will explain, how these
notions can be used to study very basic properties of the geodesic
flow on singular spaces. As an example, I will discuss the existence of
"many" infinite local geodesics on singular convex hypersurfaces and
the invariance of the Liouville measure under this almost everywhere
defined geodesic flow.
Wednesday September 2, 2009 at 3:00 PM in SEO 612